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Journal of Siberian Federal University. Mathematics & Physics, 2018, Volume 11, Issue 6, Pages 796–799
DOI: https://doi.org/10.17516/1997-1397-2018-11-6-796-799 (Mi jsfu716) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Permanents as formulas of summation over an algebra with a unique n-ary operation

Georgy P. Egorychev

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny 79, Krasnoyarsk, 660041, Russia
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DOI: https://doi.org/10.17516/1997-1397-2018-11-6-796-799
Abstract: We give a new general definition for permanents over an algebra with a unique n-ary operation and study their properties. In particular, it is shown that properties of these permanents coincide with the basic properties of the classical Binet–Cauchy permanent (1812).
Keywords: permanents, noncommutative and multioperator algebras, the polarization theorem, polynomial identities.
Received: 22.06.2018
Received in revised form: 08.09.2018
Accepted: 04.11.2018
Bibliographic databases:
Document Type: Article
UDC: 517.55 + 519.1
Language: English
Citation: Georgy P. Egorychev, “Permanents as formulas of summation over an algebra with a unique n-ary operation”, J. Sib. Fed. Univ. Math. Phys., 11:6 (2018), 796–799
Citation in format AMSBIB
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\by Georgy~P.~Egorychev
\paper Permanents as formulas of summation over an algebra with a unique $n$-ary operation
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 6
\pages 796--799
\mathnet{http://mi.mathnet.ru/jsfu716}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-6-796-799}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000452216700016}
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  • https://www.mathnet.ru/eng/jsfu/v11/i6/p796
    • This publication is cited in the following 1 articles:
    1. S. G. Pyatkov, “On evolutionary inverse problems for mathematical models of heat and mass transfer”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 14:1 (2021), 5–25  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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